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Simplifying 2040 = -0.008x2 + 0.8x + 18.8 Reorder the terms: 2040 = 18.8 + 0.8x + -0.008x2 Solving 2040 = 18.8 + 0.8x + -0.008x2 Solving for variable 'x'. Combine like terms: 2040 + -18.8 = 2021.2 2021.2 + -0.8x + 0.008x2 = 18.8 + 0.8x + -0.008x2 + -18.8 + -0.8x + 0.008x2 Reorder the terms: 2021.2 + -0.8x + 0.008x2 = 18.8 + -18.8 + 0.8x + -0.8x + -0.008x2 + 0.008x2 Combine like terms: 18.8 + -18.8 = 0.0 2021.2 + -0.8x + 0.008x2 = 0.0 + 0.8x + -0.8x + -0.008x2 + 0.008x2 2021.2 + -0.8x + 0.008x2 = 0.8x + -0.8x + -0.008x2 + 0.008x2 Combine like terms: 0.8x + -0.8x = 0.0 2021.2 + -0.8x + 0.008x2 = 0.0 + -0.008x2 + 0.008x2 2021.2 + -0.8x + 0.008x2 = -0.008x2 + 0.008x2 Combine like terms: -0.008x2 + 0.008x2 = 0.000 2021.2 + -0.8x + 0.008x2 = 0.000 Begin completing the square. Divide all terms by 0.008 the coefficient of the squared term: Divide each side by '0.008'. 252650 + -100x + x2 = 0 Move the constant term to the right: Add '-252650' to each side of the equation. 252650 + -100x + -252650 + x2 = 0 + -252650 Reorder the terms: 252650 + -252650 + -100x + x2 = 0 + -252650 Combine like terms: 252650 + -252650 = 0 0 + -100x + x2 = 0 + -252650 -100x + x2 = 0 + -252650 Combine like terms: 0 + -252650 = -252650 -100x + x2 = -252650 The x term is -100x. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x + 2500 + x2 = -252650 + 2500 Reorder the terms: 2500 + -100x + x2 = -252650 + 2500 Combine like terms: -252650 + 2500 = -250150 2500 + -100x + x2 = -250150 Factor a perfect square on the left side: (x + -50)(x + -50) = -250150 Can't calculate square root of the right side. The solution to this equation could not be determined.
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